Question: Evaluate the expression.
$\frac{-\frac{2}{3}(6 + 9) - (-3)(-4)}{\frac{1}{2}}$
1. **State the problem:** Evaluate the expression $$\frac{-\frac{2}{3}(6 + 9) - (-3)(-4)}{\frac{1}{2}}$$.
2. **Simplify inside the parentheses:**
$$6 + 9 = 15$$
3. **Multiply:**
$$-\frac{2}{3} \times 15 = -\frac{2}{3} \times 15 = -\frac{2 \times 15}{3} = -\frac{30}{3} = -10$$
4. **Evaluate the second product:**
$$(-3)(-4) = 12$$
5. **Substitute back into the numerator:**
$$-10 - 12 = -22$$
6. **Rewrite the entire expression:**
$$\frac{-22}{\frac{1}{2}}$$
7. **Divide by a fraction by multiplying by its reciprocal:**
$$-22 \times \frac{2}{1} = -44$$
**Final answer:** $$-44$$